document.write( "Question 925773: Find all solutions to the equation below on the interval [0, 2π). Enter them from smallest to largest; enter DNE in any empty blank.\r
\n" ); document.write( "\n" ); document.write( "cos (2x) + cos (x) = 2\r
\n" ); document.write( "\n" ); document.write( "x =
\n" ); document.write( "x = \r
\n" ); document.write( "\n" ); document.write( "Thank you
\n" ); document.write( "

Algebra.Com's Answer #561787 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Find all solutions to the equation below on the interval [0, 2π). Enter them from smallest to largest; enter DNE in any empty blank.
\n" ); document.write( "cos (2x) + cos (x) = 2
\n" ); document.write( "***
\n" ); document.write( "2cos^2(x)-1+cosx=2
\n" ); document.write( "2cos^2(x)+cosx-3=0
\n" ); document.write( "(2cosx+3)(cosx-1)=0
\n" ); document.write( "2cosx+3=0
\n" ); document.write( "cosx=-3/2 (reject,1 ≤ cosx ≤ 1)
\n" ); document.write( "..
\n" ); document.write( "cosx-1=0
\n" ); document.write( "cosx=1
\n" ); document.write( "x=0
\n" ); document.write( "
\n" ); document.write( "
\n" );